Etale double covers of cyclic p-gonal covers
Algebraic Geometry
2019-06-20 v2
Abstract
This paper computes the Galois group of the Galois cover of the composition of an \'etale double cover of a cyclic -gonal cover for any prime . Moreover a relation between some of its Prym varieties and the Jacobian of a subcover is given. In a sense this generalizes the trigonal construction.
Keywords
Cite
@article{arxiv.1904.02684,
title = {Etale double covers of cyclic p-gonal covers},
author = {Angel Carocca and Herbert Lange and Rubí Rodríguez},
journal= {arXiv preprint arXiv:1904.02684},
year = {2019}
}